Electron Holes

The simulations are done for a choice of mass ratios and temperature ratios. The electron thermal speed is chosen as vthe/c=0.01. The relative drift between electrons and ions is 3.2 vthe. The system size is 2.284 (to be identical to Panagiota Petkaki's paper).

Carefull about the definition of <math>v_{the}</math>. To be definite here is how we use the thermal velocity to generate the particle speed (code in Java):

prob = Math.sqrt(-2 * Math.log(1 - .999999 * Math.random()));
theta = 2 * Math.PI * Math.random();
Velocity[i] = vthe * prob * Math.cos(theta);

For each run, the first film is simply the particle plot for all particles (1 million per species) in phase space. The electrons are blue and the ions red. Does not say much. The better movies are the phase space density plots, similar to the one you make: film2 is for electrons, film3 for ions.

List of Holes Runs